论文标题
双线性 - 生物模型中Haldane阶段的动力学
Dynamics for the Haldane phase in the Bilinear-Biquadratic Model
论文作者
论文摘要
BBM是研究旋转系统系统并根据其潜在的哈密顿量设计的量子模拟器来设计量子模拟器的有前途的候选人。不同阶段的种类在其他有价值的和外来的阶段中包含Haldane阶段。我们研究了线性淬灭的千泽 - Zurek物理学到霍尔丹阶段。我们概述了理想的淬灭协议,以最大程度地减少最终状态的缺陷,同时通过单轴或交互项利用不同的线性淬灭协议。此外,当从拓扑非平凡的相位到微不足道的阶段,我们查看弦顺序的命运。我们的研究表明,这在很大程度上取决于选择的淬火路径。例如,我们发现从\ neel {}到haldane阶段的淬火,该阶段达到的弦顺序大于其基态在中间淬火时间的初始状态或最终状态。
The BBM is a promising candidate to study spin-one systems and to design quantum simulators based on its underlying Hamiltonian. The variety of different phases contains amongst other valuable and exotic phases the Haldane phase. We study the Kibble-Zurek physics of linear quenches into the Haldane phase. We outline ideal quench protocols to minimize defects in the final state while exploiting different linear quench protocols via the uniaxial or interaction term. Furthermore, we look at the fate of the string order when quenching from a topologically non-trivial phase to a trivial phase. Our studies show this depends significantly on the path chosen for quenching; for example, we discover quenches from \Neel{} to Haldane phase which reach a string order greater than their ground state counterparts for the initial or final state at intermediate quench times.